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The exceptional seta for holomorphic functions in hartogs domains

 

作者: Piotr JakÖbczak,  

 

期刊: Complex Variables, Theory and Application: An International Journal  (Taylor Available online 1997)
卷期: Volume 32, issue 1  

页码: 89-97

 

ISSN:0278-1077

 

年代: 1997

 

DOI:10.1080/17476939708814981

 

出版商: Gordon and Breach Science Publishers

 

关键词: AMS No. 32A07;32A37

 

数据来源: Taylor

 

摘要:

LetDbe a Hartogs domain in, whereGis a domain in the complex plane, and σ is a positive and continuous function inG. Givensetbe the set of allsuch thatDwis not empty andis notL2-integrabie inDw. We show that if σ is strictly subharmonic inG, then for every closed or open subsetEofGthere exists a functionf. holomorpnic inD. such thatE(D. f)=E

 

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